Question

Find the perimeter of the rectangle with the following vertices. (−6, −2), (0, −10), (5, 2), (−1, 10) 23 52 46 40

Answer 1

46

Explanation:

See attached for reference

The points given:

• (−6, −2), (0, −10), (5, 2), (−1, 10)

They form a rectangle as seen in the picture.

We can notice that this is a parallelogram, as respective lines have same difference of coordinates.

So calculating only the two of the sides will be sufficient to get its perimeter:

• a = √(-1+6)² + (10+2)² = √25+144 = √169= 13
• b = √(0+6)² + (-10+2)² = √36+64 = √100 = 10

So, the perimeter:

• P = 2(13+10) = 46